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ZhETF, Vol. 123, No. 1, p. 161 (January 2003)
(English translation - JETP, Vol. 96, No. 1, p. 140, January 2003 available online at )

Osipov V.A., Kochetov E.A., Pudlak M.

Received: April 19, 2002

PACS: 73.20.Dx, 73.50.Jt, 73.61.Wp

DJVU (117K) PDF (290.9K)

The electronic structure of graphitic nanoparticles is investigated within a gauge field-theory model. The local and total densities of states (DOS) near the pentagonal defects (disclinations) are calculated for three geometries: sphere, cone, and hyperboloid. It is found that the low-energy electron states have a rather specific dependence on both the energy and the distance from a disclination line. In particular, the low-energy total DOS has a cusp that drops to zero at the Fermi energy for disclinations with the Frank index u<1/2, while a region of a nonzero DOS across the Fermi level is formed for u=1/2. The true zero-mode fermion state is found for the graphitic hyperboloid. The appearance of an enhanced charge density near the Fermi level for nanocones with the 60^{\circ} opening angle (180^{\circ} disclination) is predicted.

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